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1010110000100 = 225217594182353
BaseRepresentation
bin11101011001011110011…
…11110110101111100100
310120120021022011122101012
432230233033312233210
5113022201130000400
62052012122521352
7132656316222665
oct16545717665744
93516238148335
101010110000100
1135a426841683
12143923966258
13743399bb416
1436c6504136c
151b41e101d35
hexeb2f3f6be4

1010110000100 has 36 divisors (see below), whose sum is σ = 2320876274724. Its totient is φ = 380276705280.

The previous prime is 1010110000087. The next prime is 1010110000121. The reversal of 1010110000100 is 10000110101.

It can be written as a sum of positive squares in 6 ways, for example, as 12975943744 + 997134056356 = 113912^2 + 998566^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297089477 + ... + 297092876.

It is an arithmetic number, because the mean of its divisors is an integer number (64468785409).

Almost surely, 21010110000100 is an apocalyptic number.

1010110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010110000100 is an abundant number, since it is smaller than the sum of its proper divisors (1310766274624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010110000100 is a wasteful number, since it uses less digits than its factorization.

1010110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594182384 (or 594182377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010110000100 its reverse (10000110101), we get a palindrome (1020110110201).

The spelling of 1010110000100 in words is "one trillion, ten billion, one hundred ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 594182353 1188364706 2376729412 2970911765 5941823530 10101100001 11883647060 14854558825 20202200002 29709117650 40404400004 50505500005 59418235300 101011000010 202022000020 252527500025 505055000050 1010110000100